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We revisit the issue of the spectral slope of magnetohydrodynamic (MHD) turbulence in the inertial range and argue that the numerics favour a Goldreich–Sridhar −5/3 slope rather than a −3/2 slope. We also perform precision measurements of the anisotropy of MHD turbulence and determine the anisotropy constant CA= 0.34 of Alfvénic turbulence. Together with the previously measured Kolmogorov constant CK= 4.2, or 3.3 for a purely Alfvénic case, it constitutes a full description of the MHD cascade in terms of spectral quantities, which is of high practical value for astrophysics.

We revisit the issue of the spectral slope of magnetohydrodynamic (MHD) turbulence in the inertial range and argue that the numerics favour a Goldreich–Sridhar −5/3 slope rather than a −3/2 slope. We also perform precision measurements of the anisotropy of MHD turbulence and determine the anisotropy constant CA= 0.34 of Alfvénic turbulence. Together with the previously measured Kolmogorov constant CK= 4.2, or 3.3 for a purely Alfvénic case, it constitutes a full description of the MHD cascade in terms of spectral quantities, which is of high practical value for astrophysics.